What is expand (8z^2(-u^5+3))/(3u) ?

The solution to expand (8z^2(-u^5+3))/(3u) is -(8z^2u^4)/3+(8z^2)/u

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expand (8z^2(-u^5+3))/(3u)

expand

\frac{8 z ^{2} ( - u ^{5} + 3 )}{3 u}

- \frac{8 z ^{2} u ^{4}}{3} + \frac{8 z ^{2}}{u}

Solution steps

\frac{8 z ^{2} ( - u ^{5} + 3 )}{3 u}

Expand

8 z^{2} (- u^{5} + 3) : - 8 z^{2} u^{5} + 24 z^{2}

= \frac{- 8 z ^{2} u ^{5} + 24 z ^{2}}{3 u}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 8 z ^{2} u ^{5} + 24 z ^{2}}{3 u} = - \frac{8 z ^{2} u ^{5}}{3 u} + \frac{24 z ^{2}}{3 u}

= - \frac{8 z ^{2} u ^{5}}{3 u} + \frac{24 z ^{2}}{3 u}

Cancel

\frac{8 z ^{2} u ^{5}}{3 u} : \frac{8 z ^{2} u ^{4}}{3}

= - \frac{8 z ^{2} u ^{4}}{3} + \frac{24 z ^{2}}{3 u}

Divide the numbers:

\frac{24}{3} = 8

= - \frac{8 z ^{2} u ^{4}}{3} + \frac{8 z ^{2}}{u}

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\frac{( x ^{2} + 4 )}{( x ^{3} - 27 ) x}

\frac{d}{d t} ((x) (10 x + 30 t))

3 (4 y = 3 - 5 y + 7)

What is expand (8z^2(-u^5+3))/(3u) ?
The solution to expand (8z^2(-u^5+3))/(3u) is -(8z^2u^4)/3+(8z^2)/u